What is the controlled-Y gate?

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What is the controlled-Y gate?

The controlled-Y gate, also known as the CNOT gate or the controlled Pauli-Y gate, is a two-qubit gate in quantum computing. It operates on two qubits, with one acting as the control qubit and the other as the target qubit. The controlled-Y gate applies a Pauli-Y gate (a rotation around the Y-axis of the Bloch sphere by 180 degrees) to the target qubit if and only if the control qubit is in the state |1⟩. If the control qubit is in the state |0⟩, no operation is applied to the target qubit. This gate is commonly used in quantum algorithms and quantum error correction codes.